Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. I: Linearized equations. (English) Zbl 0681.35071

Dauge, Monique

SIAM J. Math. Anal. 20, No. 2, 74-97 (1989).

The author studies the regularity of solutions of the system of Stokes equations in domains with corners, e.g. exterior domains around airfoil profiles. Both two and three dimensional domains are considered. An \(H^ 2\)-regularity result, conditions implying the Fredholm property and singular functions are given.

Reviewer: G.Warnecke

MSC:

35Q30	Navier-Stokes equations
35D10	Regularity of generalized solutions of PDE (MSC2000)
35J25	Boundary value problems for second-order elliptic equations
76D05	Navier-Stokes equations for incompressible viscous fluids

Keywords:

corner; edge; polyhedron; Stokes equations; Fredholm property